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131253376125 = 3533111290613
BaseRepresentation
bin111101000111101001…
…1111001010001111101
3110112210021101100102210
41322033103321101331
54122301331014000
6140144051211033
712324403201104
oct1721723712175
9415707340383
10131253376125
1150734122173
12215305a6a79
13c4b9767001
1464d1b3103b
153632de4350
hex1e8f4f947d

131253376125 has 32 divisors (see below), whose sum is σ = 225450980352. Its totient is φ = 67743672000.

The previous prime is 131253376099. The next prime is 131253376193. The reversal of 131253376125 is 521673352131.

It is not a de Polignac number, because 131253376125 - 27 = 131253375997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5633682 + ... + 5656931.

It is an arithmetic number, because the mean of its divisors is an integer number (7045343136).

Almost surely, 2131253376125 is an apocalyptic number.

131253376125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131253376125 is a deficient number, since it is larger than the sum of its proper divisors (94197604227).

131253376125 is a wasteful number, since it uses less digits than its factorization.

131253376125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11290662 (or 11290652 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The spelling of 131253376125 in words is "one hundred thirty-one billion, two hundred fifty-three million, three hundred seventy-six thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 125 155 375 465 775 2325 3875 11625 11290613 33871839 56453065 169359195 282265325 350009003 846795975 1050027009 1411326625 1750045015 4233979875 5250135045 8750225075 26250675225 43751125375 131253376125